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Finding the Fourth Proportional to 100,468.13, 138,646.01 and 55,756.13

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Solution

The fourth proportional to 100,468.13, 138,646.01 and 55,756.13 is: 76,943.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,468.13 : 138,646.01 = 55,756.13 : x
  2. Step 2: Convert to fraction form
    100,468.13/138,646.01 = 55,756.13/x
  3. Step 3: Cross multiply
    100,468.13x = 138,646.01 × 55,756.13
  4. Step 4: Simplify right side
    100,468.13x = 7,730,364,403.70
  5. Step 5: Solve for x
    x = 7,730,364,403.70/100,468.13
  6. Step 6: Final answer
    x = 76,943.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.